document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041974>Question 1041974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For a test of 8 true&#8208;false questions, determine the probabilities of the events if every question is answered by guessing. Enter your answers as fractions.\r<BR>\n" );
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document.write( "a)Getting the first five questions correct.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656888 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the random variable for the number of correct answers.\r<BR>\n" );
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document.write( "The possible values of x are 0,1,2,3,4,5,6,7, and 8.\r<BR>\n" );
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document.write( "The probability mass function would then be \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28X+=+x%29+=+%28matrix%282%2C1%2C8%2Cx%29%29%2A%281%2F2%29%5E%288-x%29%2A%281%2F2%29%5Ex+=+%28%28matrix%282%2C1%2C8%2Cx%29%29%29%2F2%5E8 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The probability of getting the first five questions correct is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%5E5%2A2%5E3%29%2F2%5E8+=+1%2F2%5E5+=+1%2F32 ALIGN=MIDDLE  ALT=\"%281%5E5%2A2%5E3%29%2F2%5E8+=+1%2F2%5E5+=+1%2F32\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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